Discrete variable (DV) and continuous variables (CV) describes the states in which quantum states can be represented in the quantum communications [1]}, [2]}. In DV states, data is represented by discrete features such as
the polarization of single photons [3]}, that can be detected by single-photon detectors. Also, the information is represented by finite number of basis states, such as 'qubit' which is the the standard unit of DV quantum states. Alternative to this approach is CV quantum states, that were introduced in [4]}, [5]}, in which information is encoded onto the optical field defined by quadrature variables that constitutes infinite dimensional hilbert space, and is useful for quantum information carriers such as lasers [6]}. CV states can be detected by highly efficient homodyne or heterodyne detectors having faster transmission rates than single-photon detectors [7]}. Therefore, extensive research in theoretical and experimental domains is needed at the interface of CV and DV states, that will extract the best features from both these technologies to exploit the best of both.
